Answer:
C = 65.94 ft and A = 346.185 ft^2
Step-by-step explanation:
r = d/2 = 21/2 = 10.5
let [tex]\pi[/tex] = 3.14
C = 2[tex]\pi[/tex]r
C = 2(3.14)(10.5) = 65.94 ft
A = [tex]\pi[/tex]r^2
A = (3.14)(10.5)^2 = 346.185 ft^2
The solution is: the circumference of the circle is C = 65.94 ft and, the area of the circle A = 346.185 ft^2.
What is circle?A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”. The perimeter around the circle is known as the circumference.
here, we have,
given that,
diameter of the circle = 21
so, we have,
r = d/2
= 21/2
= 10.5
let
π= 3.14
we know that,
the circumference of the circle is:
C = 2rπ
C = 2(3.14)(10.5)
= 65.94 ft
the area of the circle is:
A =π r^2
A = (3.14)(10.5)^2
= 346.185 ft^2
Hence, The solution is: the circumference of the circle is C = 65.94 ft and, the area of the circle A = 346.185 ft^2.
Learn more about circle here:
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PLEASE HELP, THIS IS MY LAST QUESTION FOR THE YEAR SO I CAN PASS ALGEBRA (BRAINLIEST IF ANSWERED WITHIN 30 MINS AND CORRECT)
An expression is shown below:
f(x) = 2x2 − 3x − 5
Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)
Part B: Is the vertex of the graph of f(x) going to be a maximum or minimum? What are the coordinates of the vertex? Justify your answers and show your work. (3 points)
Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph. (5 points)
Answer:
x intercepts: (-1,0) and (2.5,0)
It will be a minimum because the coeficcent for the degree is positive. The coordinates of the vertex are: (.75,-6.125)
To graph this I would first draw points on the vertex (.75,-6.125) and the x intercepts (-1,0) and (2.5,0). I would then simply just sketch a parabola that met all those points.
Step-by-step explanation:
Work Below (can clarify anything if needed)
True or false? The graph represents a function. 5. -5 5 2.5 O A. True O B. False
Answer:
True
Step-by-step explanation:
In functions, each x value has its own corresponding y value, this meaning that the x value cannot repeat, and if it does it is not considered a function
Looking at the graph, no x value repeat, thus the graph represents a function
Please help I’m not good with this at all!!
how do we compare the absolute values of -99 and 1? *
Answer:
The first one
Step-by-step explanation:
The absolute value of a negative number is the same number but positive if that makes sense. ( ex absolute value of -5 is 5 )
The absolute value of a positive number is literally that number ( ex. absolute value of 6 is 6 )
Thus, the absolute value of 1 is 1 and the absolute value of -99 is 99
99 is greater than 1 which means that the absolute value of -99 is greater than the absolute value of 1
Thus, the answer is the first one
How can you tell from the equation of a rational function if the function has a hole in the graph ( a removable discontinuity) at x, rather than a vertical asymptote? Give an example
Consider that,
x^2+4x+4 = (x+2)(x+2)
x^2+7x+10 = (x+2)(x+5)
Dividing those expressions leads to
(x^2+4x+4)/(x^2+7x+10) = (x+2)/(x+5)
The intermediate step that happened is that we have (x+2)(x+2) all over (x+2)(x+5), then we have a pair of (x+2) terms cancel as the diagram indicates (see below). This is where the removable discontinuity happens. Specifically when x = -2. Plugging x = -2 into (x+2)/(x+5) produces an output, but it doesn't do the same for the original ratio of quadratics. So we must remove x = -2 from the domain.
Evaluate the expression 8a+11−3b for a = 4 and b = 2.
Answer: 37
8(4)+11-3(2)
32+11-6
43-6
37
I’ll give brainiest HELP PLEase!
Answer:
g = 14
Step-by-step explanation:
58 + g = 72
Subtact 58 from both sides.
g = 14
what is 2/4 divided by 3
Answer:
0.166
Step-by-step explanation:
The model represents an inequality. What is the solution set for the inequality?
Given:
The figure of an algebraic tiles model of an inequality.
To find:
The inequality for the given model.
Solution:
On the left hand side of the inequality sign in the model we have 8 tiles of x and 12 tiles of 1. So,
[tex]LHS=8(x)+12(1)[/tex]
[tex]LHS=8x+12[/tex]
On the right hand side of the inequality sign in the model we have 12 tiles of -1. So,
[tex]RHS=12(-1)[/tex]
[tex]RHS=-12[/tex]
Now, the inequality for the given model is:
[tex]8x+12\geq -12[/tex]
Therefore, the required inequality for the given model is [tex]8x+12\geq -12[/tex].
Find x.
(5x-61°
Please help!!!
Answer:
X=275.8
Step-by-step explanation:
This polygon is 10 sides
The sum of all angles in a Decagon is 1,440
5x-61=1,440
+61 +61
5x=1,379
— ———
5 5
X=275.8
Which of the following is closest to the circumference of a circle whose radius is 21 m
Here Is your answer!!!!
No solution
2y = 4x + 6
What is the answer
Answer:
do i solve for y or x
Step-by-step explanation:
Answer:
The answer is y = 2x + 3 This is the right answer
Help me it says use the figure for 1 and 2
lucy wanted to water her garden of tulips her garden is 3 ft long and 6 ft wide if her garden has a volume of 54 cubic feet what is the height of her garden
Answer:
So the answer would be 9
Step-by-step explanation:
3*6=9
Help plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz 10 points
[tex]\large\boxed{\tt Answer:~2\pi ~or~around~6.283~units}[/tex]
[tex]\tt Step-by-step~explanation:[/tex]
The equation for finding the circumference of a circle:
If the radius of this circle is 1, then that means the diameter is 2. We multiply 2 by π to get our answer: 2π or approximately 6.283.
The equation for the line of best fit is y=–0.7x+39. In this equation, what does the y-intercept of 39 tell you?
What is the missing length?
Answer:
16
Step-by-step explanation:
The area of a triangle is
A =1/2 bh where b is the base length and h is the height
Substitute the values in
69.6 = 1/2 ( 8.7) * p
69.6 = 4.35p
Divide each side by 4.35
69.6/4.35 = p
16 = p
The formula for the area of a triangle is: A = 1/2 * base * height.
Using this formula, let's plug in what we know.
69.6 = 1/2 * 8.7 * height
Next, we'll go ahead and get rid of that 1/2 by multiplying everything by its reciprocal, 2.
139.2 = 8.7 * height
Then, all that's left is to divide both sides by 8.7.
Height = 16 yards
Hope this helps!! :)
!!!need help please !!!
Answer:
Step-by-step explanation:
log(3) = 0.477
log(8.2) = 0.913
log(0.04) = -1.397
4. A car is travelling 75 kilometers per hour. How many meters does the car travel in one
minute?
Answer:
1250 Meters
Step-by-step explanation:
75 kilometers divided by 60 minutes is 1.25 kilometers per minute.
1 kilometer = 1000 meters
Answer:
75km/hr =75000
60 sec =1min,60 min=1hr
75000÷60=1250m
On a test. I can't find answers anywhere else.
i think this is correct
hey really need help asap
solve for x
Answer:
60 multiply 7
Step-by-step explanation:
420
5 2/5 x 10 PLEASE HELP
Answer:
54
Step-by-step explanation:
Answer:
45
Step-by-step explanation:
please answer below :-)
Answer:
D) 6
Step-by-step explanation:
A group of New York City residents are surveyed. They are asked if they are going to watch the New York City Marathon in person. Of the people surveyed, 68 men and 45 women will watch the marathon, while 100 men and 192 women will not watch the marathon. Place each joint and marginal relative frequency in the correct location in the two-way table.
Answer:3
Step-by-step explanation:
20 POINTS PLEASE HELP
Ms. Madero sells tables. She charges $26 per square foot of the tabletop and charges a fixed fee of $75. Which equation could be used to find the area
(x), in square feet, of the tabletop of a table that Ms. Madero sells for $244?
O 26x + 75 = 244
O 26x = 75 +244
O 75x + 26 = 244
O 75x = 26 +244
Answer:
26x+75=244
Step-by-step explanation:
Find the median, mean, and range.
14, 1, 16, 6, 15, 2
Answer:
Median: 10
Mean: 9
Range: 15
Step-by-step explanation:
Have a good day :)
a triangle has sides with lengths 9 yards 12 yards and 18yards is it a right triangle
Answer:
use Pythagorean theorem:
[tex]a^2+b^2=c^2\\9^2+12^2=18^2\\81+144=324\\225\neq 324[/tex]
it's not a right triangle
HELLPP ASAP!!!!
1. Find the unknown side lengths in these right triangles.
Answer:
10
Step-by-step explanation:
5x2
A piano instructor charges students a one-time fee for sheet music and an hourly rate for lessons. The graph below shows the total cost for a student who has taken x lessons.
5 1/2 ÷ 3 2/3 + 1 4/5 , giving answer as a fraction in lowest terms
Answer:
6761/320
Step-by-step explanation:
[(51/2)÷32/3]+14/5
=6761/320
10. Fill in the blanks so as to make the statement true:
(i) A number which can be expressed in the form m/n, where m and n are
integers and n is not equal to zero, is called a ________.
(ii) If the integers m and n have no common divisor other than 1 and n is
positive, then the rational number m/n is said to be in the ________.
(iii) Two rational numbers are said to be equal, if they have the same
________ form.
(iv) If m is a common divisor of x and y, then x/y = (x ÷ k)/______
(v) lf p and q are positive integers , then m/n is a ________ rational
number and m/-n is a ________ rational number.
(vi) The standard form of -1 is ________.
(vii) If m/n is a rational number, then n cannot be ________
(viii) Two rational numbers with different numerators are equal, if their
numerators are in the same ________ as their denominators.
Step-by-step explanation:
(I) A number which can be expressed in the form m/n, where m and n are integers and n is not equal to zero, is called a Rational Number .
(ii) If the integers m and n have no common divisor other than 1 and n is positive, then the rational number m/n is said to be in the Simplest form .
(iii) Two rational numbers are said to be equal, if they have the same Simplest form .
(iv) If m is a common divisor of x and y, then x/y = (x ÷ k)/( y ÷ k) .
(v) The standard form of -1 is -1/1
(vi) If m/n is a rational number, then n cannot be 0
(vii) Two rational numbers with different numerators are equal, if their numerators are in the same ratio as their denominators.